{"id":"https://openalex.org/W2004357754","doi":"https://doi.org/10.1137/s0895479892235009","title":"Row Sums and Inverse Row Sums for Nonnegative Matrices","display_name":"Row Sums and Inverse Row Sums for Nonnegative Matrices","publication_year":1994,"publication_date":"1994-10-01","ids":{"openalex":"https://openalex.org/W2004357754","doi":"https://doi.org/10.1137/s0895479892235009","mag":"2004357754"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479892235009","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479892235009","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002855648","display_name":"Shmuel Friedland","orcid":"https://orcid.org/0000-0002-0423-5005"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shmuel Friedland","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045072267","display_name":"Rohan Hemasinha","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rohan Hemasinha","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Hans Schneider","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hans Schneider","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073890814","display_name":"Jeffrey L. Stuart","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeffrey Stuart","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5103163360","display_name":"James R. Weaver","orcid":"https://orcid.org/0000-0001-5800-4774"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"James Weaver","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5002855648"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4639,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60914439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"15","issue":"4","first_page":"1157","last_page":"1166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9309999942779541,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8960806131362915},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5871589183807373},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5808854699134827},{"id":"https://openalex.org/keywords/grading","display_name":"Grading (engineering)","score":0.5157025456428528},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4838463366031647},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3497470021247864},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27746114134788513},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09900891780853271},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09334266185760498}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8960806131362915},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5871589183807373},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5808854699134827},{"id":"https://openalex.org/C2777286243","wikidata":"https://www.wikidata.org/wiki/Q5591926","display_name":"Grading (engineering)","level":2,"score":0.5157025456428528},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4838463366031647},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3497470021247864},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27746114134788513},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09900891780853271},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09334266185760498},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0895479892235009","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479892235009","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:aquila.usm.edu:fac_pubs-7733","is_oa":false,"landing_page_url":"https://aquila.usm.edu/fac_pubs/6566","pdf_url":null,"source":{"id":"https://openalex.org/S4306402529","display_name":"Aquila Digital Community (University of Southern Mississippi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I44854399","host_organization_name":"University of Southern Mississippi","host_organization_lineage":["https://openalex.org/I44854399"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1500921805","https://openalex.org/W2038807374","https://openalex.org/W2081178476"],"related_works":["https://openalex.org/W2064165679","https://openalex.org/W1588461101","https://openalex.org/W3208525924","https://openalex.org/W2591833644","https://openalex.org/W2885058781","https://openalex.org/W1552490082","https://openalex.org/W4236439135","https://openalex.org/W2189583758","https://openalex.org/W3009904625","https://openalex.org/W1983121850"],"abstract_inverted_index":{"For":[0],"a":[1],"nonnegative,":[2],"irreducible":[3],"matrix":[4],"A,":[5],"the":[6,9,14,17,24,27],"grading":[7,15,25],"of":[8,16,26,31],"row":[10,28],"sums":[11,29],"vector":[12,19,30],"and":[13],"Perron":[18],"are":[20],"used":[21],"to":[22,43],"predict":[23],"$(":[32],"I":[33],"-":[34,37],"A":[35],")^{":[36],"1}":[38],"$.":[39],"This":[40],"has":[41],"applications":[42],"Markov":[44],"chains.":[45]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}